Quote from man:
we came to the conclusion that each strategy which does not have a hit ratio of 100% will go broke - it is just a question of time. Even when you are right 99 out of 100 trades, if you trade for ten thousand years, once this very unlikely streak will happen that kills you. So the whole thing comes down to a single number: expected length until bankruptcy.
i agree w/ surfer, this is not an accurate generalization.
it's true that the more times you flip a coin, the more statistical aberrations you will see- i.e. the longer you're at it, the more freak streaks there are of heads and tails. i'm assuming this basic notion is where you get your assumption from, that eventually you will hit the mother of all loss streaks through pure chance as the outliers expand.
But:
1) a rational and robust trading strategy applied to markets dominated by a constant set of factors (fear, greed, structural continuity etc) is not the same as a progressive series of coin flips, not by a long shot. Statistical aberrations are far more likely to be bounded in the real world when intelligent decision and analysis is involved, especially if your method is built on embedded market principles that have not changed. Actual infinites are far more rare than potential infinites, and the two are often confused.
2) if you have a rational and conservative strategy and a reasonable winning percentage, it would take longer than you might think for the killer losing streak to materialize. if you were risking a percentage of initial capital per trade, the length of time would be even longer/approaching infinity, given that your capital at risk decreases as your capital base decreases and thus your risk asymptotes out above zero. The probability percentages of total ruin rapidly approach irrelevancy given enough starting capital and a conservative enough approach. At some point- perhaps the point where the percentage odds of the freak streak are on par with getting hit by a piece of Skylab- the notion becomes pointless.
3) going back to the coin flip example, there is no reason why you would necessarily have to go bankrupt even if the aberrations were completely unbounded and you had an infinite length of time to play. because there is no average distribution for the outliers (they can only get bigger as time goes by), there is no reason why heads couldn't get a jumpstart on tails- akin to wins getting a headstart on losses- and never give up that lead. Win streaks could get out in front and stay that way forever, with the two getting farther and farther apart as the outliers keep expanding. (This sort of thing happens to people in life- thus the expression "some people have all the luck".)
(note that there is always the possibility of your strategy becoming invalidated, or the blowup that takes you out of the game in one day, but I'm assuming those occurrences were not a part of your basic proposition).